Question

Find the surface area of a cube whose volume is 0.216 cu. m.
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Answer 1

Answer:

2.16 m²

Step-by-step explanation:

Given :

Volume of a cube = 0.216 m³

Formulae :

Total Surface Area of a Cube = 6a² units²

Volume of a Cube = a³ units³

Procedure :

Volume of cube ⇔ a³ = 0.216 m³

⇒ a³ = 0.216 m³

⇒ a = ∛(0.216 m³)

⇒ a = ∛0.216 × ∛m³

⇒ a = 0.6 × m

∴ a = 0.6 m

Hence the side of the square = 0.6 m.

Hence, As TSA of the Cube = 6(a²) units²

⇒ TSA = 6(0.6)² m²

⇒ TSA = 6 × 0.36 m²

∴ TSA = 2.16 m²

Hence the Surface Area of the cube is 2.16 m².

Thanks !